Let's divide 10966333 by 955
Our goal is to divide 10966333 by 955.

Step 1:
The number 955 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 955

Let's proceed to step 2:
955 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 955

Let's proceed to step 3:
If we divide 109 by 955, we get 0 and a remainder of 109.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 109 after subtracting 0 from 109.
Append the next digit (6) from the dividend to 109 and continue with: 1096 / 955

On to step 4:
955 goes into 1096 1 times with a remainder of 141.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 955 from 1096 and we're left with 141.
Fetch the next digit (6) from the dividend, attach it to 141 and continue: 1416 / 955

Let's proceed to step 5:
955 goes into 1416 1 times with a remainder of 461.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 955 from 1416, we get 461.
Include the next digit (3) from the dividend after 461, then repeat: 4613 / 955

Advancing to step 6:
The number 955 fits into 4613 4 times, leaving a remainder of 793.
The next digit of our result is 4. 
Result so far: 114.0
Subtract 3820 from 4613 to get 793.
Grab the next digit (3) from the dividend, add it to 793, then carry on: 7933 / 955

Going ahead to step 7:
955 goes into 7933 8 times with a remainder of 293.
The number 8 becomes the next digit in our result. 
Result so far: 1148.0
Deduct 7640 from 7933 and we're left with 293.
Grab the next digit (3) from the dividend, add it to 293, then carry on: 2933 / 955

Going ahead to step 8:
When dividing 2933 by 955, we get 3 with a remainder of 68.
The number 3 becomes the next digit in our result. 
Result so far: 11483.0
Subtract 2865 from 2933 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 9:
955 can be fit into 680 0 times, resulting in a remainder of 680.
The next digit of our result is 0. 
Result so far: 11483.0
Subtracting 0 from 680 leaves us with 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Moving on to step 10:
955 can be fit into 6800 7 times, resulting in a remainder of 115.
The next digit of our result is 7. 
Result so far: 11483.07
Subtract 6685 from 6800 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Moving on to step 11:
If we divide 1150 by 955, we get 1 and a remainder of 195.
Put 1 as the next digit of the answer. 
Result so far: 11483.071
If we take 955 away from 1150, we end up with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Advancing to step 12:
When dividing 1950 by 955, we get 2 with a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 11483.0712
Deduct 1910 from 1950 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
955 can be fit into 400 0 times, resulting in a remainder of 400.
Write down 0 as next digit of the result. 
Result so far: 11483.0712
Subtract 0 from 400 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Let's proceed to step 14:
The number 955 fits into 4000 4 times, leaving a remainder of 180.
Use 4 as the next digit of our solution. 
Result so far: 11483.071204
If we take 3820 away from 4000, we end up with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Advancing to step 15:
When dividing 1800 by 955, we get 1 with a remainder of 845.
The number 1 becomes the next digit in our result. 
Result so far: 11483.0712041
Subtract 955 from 1800 to get 845.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8450, and continue the process.

Let's proceed to step 16:
8450 divided by 955 is 8 with a remainder of 810.
Put 8 as the next digit of the answer. 
Result so far: 11483.07120418
Deduct 7640 from 8450 and we're left with 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

In conclusion, the division gives 11483.07120418 with a balance of 8.1e-07.